Skip to main content
SpringerLink
Log in

On the representation of distributive semilattices

  • Published:
algebra universalis Aims and scope Submit manuscript

Abstract

This paper gives new sufficient conditions for the representability of a distributive semilattice as the semilattice of compact congruences of a lattice. The main theorem includes all previously known results of this type.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Crawley, P. andDilworth, R. P.,Algebraic Theory of Lattices. Prentice Hall, Englewood Cliffs (1973).

    Google Scholar 

  2. Dobbertin, H.,Vaught measures and their applications in lattice theory. J. of Pure and Applied Algebra43, 27–51 (1986).

    Google Scholar 

  3. Grätzer, G.,Universal Algebra. The University Series in Higher Mathematics, D. Van Nostrand Co., Princeton, New Jersey (1968).

    Google Scholar 

  4. Huhn, A. P.,On the representation of distributive algebraic lattices III. Acta Sci. Math. (Szeged)53, 11–18 (1989).

    Google Scholar 

  5. Pudlák, P.,On congruence lattices of lattices. Algebra Universalis20, 96–114 (1985).

    Google Scholar 

  6. Schmidt, E. T.,Kongruenzrelationen algebraischer Strukturen. VEB Deutscher Verlag der Wissenschaften (1969).

  7. Schmidt, E. T.,The ideal lattice of a distributive lattice with 0is the congruence lattice of a lattice. Acta Sci. Math. (Szeged)43, 153–168 (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fachbereich Mathematik, AG 1 Technische Hochschule Darmstadt, Schloßgartenstr. 7, 64289, Darmstadt, Germany

    Michael Tischendorf

Authors
  1. Michael Tischendorf
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to Bjarni Jónsson on his 70th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tischendorf, M. On the representation of distributive semilattices. Algebra Universalis 31, 446–455 (1994). https://doi.org/10.1007/BF01221798

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01221798

Keywords

Search

Navigation